The maximum number of electrons in the L shell of an atom is?

Analysis

The question asks for the maximum number of electrons that can be accommodated in the L shell of an atom. In atomic structure, electrons are arranged in shells (energy levels) designated by the principal quantum number, $n$.

Concept

The maximum number of electrons that any shell can hold is determined by the formula: Maximum electrons = $2n^2$

Where $n$ is the shell number:

• K shell: $n = 1$
• L shell: $n = 2$
• M shell: $n = 3$
• N shell: $n = 4$

Solution

1. Identify the shell number for the L shell. The shells are ordered K, L, M, N... which correspond to $n = 1, 2, 3, 4...$ respectively. Therefore, for the L shell, $n = 2$.
2. Apply the formula $2n^2$: • Maximum electrons = $2 \times (2)^2$ • Maximum electrons = $2 \times 4$ • Maximum electrons = 8

Conclusion

The L shell can hold a maximum of 8 electrons.

Exam Tip: Remember the sequence 2, 8, 18, 32. These are the maximum capacities for the K, L, M, and N shells respectively. If you ever forget the formula, just remember that the shells fill up in this specific order!